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Title: A coupled ALE-AMR method for shock hydrodynamics

Abstract

We present a numerical method combining adaptive mesh refinement (AMR) with arbitrary Lagrangian-Eulerian (ALE) mesh motion for the simulation of shock hydrodynamics on unstructured grids. The primary goal of the coupled method is to use AMR to reduce numerical error in ALE simulations at reduced computational expense relative to uniform fine mesh calculations, in the same manner that AMR has been used in Eulerian simulations. We also identify deficiencies with ALE methods that AMR is able to mitigate, and discuss the unique coupling challenges. The coupled method is demonstrated using three-dimensional unstructured meshes of up to O(10 7) tetrahedral cells. Convergence of ALE-AMR solutions towards both uniform fine mesh ALE results and analytic solutions is demonstrated. Speed-ups of 5-10× for a given level of error are observed relative to uniform fine mesh calculations.

Authors:
 [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1425758
Report Number(s):
LA-UR-16-29081
Journal ID: ISSN 0045-7930
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computers and Fluids
Additional Journal Information:
Journal Volume: 167; Journal ID: ISSN 0045-7930
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Adaptive mesh refinement; arbitrary Lagrangian-Eulerian; shock hydrodynamics; unstructured grids

Citation Formats

Waltz, J., and Bakosi, J.. A coupled ALE-AMR method for shock hydrodynamics. United States: N. p., 2018. Web. doi:10.1016/j.compfluid.2018.03.021.
Waltz, J., & Bakosi, J.. A coupled ALE-AMR method for shock hydrodynamics. United States. doi:10.1016/j.compfluid.2018.03.021.
Waltz, J., and Bakosi, J.. Mon . "A coupled ALE-AMR method for shock hydrodynamics". United States. doi:10.1016/j.compfluid.2018.03.021.
@article{osti_1425758,
title = {A coupled ALE-AMR method for shock hydrodynamics},
author = {Waltz, J. and Bakosi, J.},
abstractNote = {We present a numerical method combining adaptive mesh refinement (AMR) with arbitrary Lagrangian-Eulerian (ALE) mesh motion for the simulation of shock hydrodynamics on unstructured grids. The primary goal of the coupled method is to use AMR to reduce numerical error in ALE simulations at reduced computational expense relative to uniform fine mesh calculations, in the same manner that AMR has been used in Eulerian simulations. We also identify deficiencies with ALE methods that AMR is able to mitigate, and discuss the unique coupling challenges. The coupled method is demonstrated using three-dimensional unstructured meshes of up to O(107) tetrahedral cells. Convergence of ALE-AMR solutions towards both uniform fine mesh ALE results and analytic solutions is demonstrated. Speed-ups of 5-10× for a given level of error are observed relative to uniform fine mesh calculations.},
doi = {10.1016/j.compfluid.2018.03.021},
journal = {Computers and Fluids},
number = ,
volume = 167,
place = {United States},
year = {Mon Mar 05 00:00:00 EST 2018},
month = {Mon Mar 05 00:00:00 EST 2018}
}

Journal Article:
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